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Reinagel lectures 2006. Take home message about LGN 1. Lateral geniculate nucleus transmits information from retina to cortex 2. It is not known what computation if any occurs in the LGN 3. For white noise stimuli, responses are precise and reliable
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Reinagel lectures 2006 Take home message about LGN 1. Lateral geniculate nucleus transmits information from retina to cortex 2. It is not known what computation if any occurs in the LGN 3. For white noise stimuli, responses are precise and reliable 4. PRECISION is the trial to trial jitter in spike TIMING (order 1msec) feed forward inhibition may be the mechanism of precise timing 5. RELIABILITY is the trial to trial variability in spike NUMBER (subpoisson) refractoriness may be the mechanism of reliable spike count 6. BURSTING in the LGN is a distinct biophysical phenomenon, of unknown importance. The *right* question to ask is whether the bursting state is visually primed and whether priming itself encodes information 7. We now have a visually behaving rodent prep to address all these questions Take home message about efficient coding 1. Natural scenes are full of spatial and temporal correlations 2. This suggests WHY center-surround RF's are GOOD: redundancy reduction 2. Test: LGN responses to natural scenes are decorrelated (whitened) 3. More generally: are natural scenes optimal stimuli? is this even the right question? www-biology.ucsd.edu/labs/reinagel/
Lateral Geniculate Nucleus Hubel 1960 (alert cat) Hubel & Wiesel 1961 (anesthetized) Retina LGN Cortex Ramon y Cajal
What happens in the LGN? • spiking inputs • intrinsic properties • local circuits • cortical feedback Gating? Attention? Binding? Prediction testing? Nothing?
Retina LGN Cortex Reinagel & Reid 2000
LGN response to purely temporal stimuli Luminance Repeat • Descriptive questions: • how precise is the timing? • how reliable is the number? • are there internal patterns? • In each case: • visual information? • mechanism of encoding? • mechanism of decoding? Reinagel & Reid, 2000
PSTH peaks are milliseconds wide Reinagel & Reid, 2002
Temporal patterns conserved across animals Reinagel & Reid 2002
Temporal precision of visual information a b c d e 100 Mutual Information (bits/s) 50 0 0.5 1 2 4 8 16 32 64 128 Precision of spike times used (ms) Theory of Shannon, 1948 Method of Strong et al., 1998 Result of Reinagel & Reid, 2000
Mechanisms Underlying Precise Timing Pouille & Scanzian 2001
Mean 4 Variance 0 Deterministic Poisson Mean 4 Variance 4
Spike Count: Trial to Trial Variability Random Deterministic (Poisson) = 1 = 0 Measure of variability Variance in Spike # Mean Spike #
LGN vs. Poisson Model PSTH PSTH
LGN Variability << Poisson 1 Poisson 0.75 Fano Factor 0.5 0.25 LGN 0 0 100 500 1000 bin size T (msec)
Variability increases from retina to cortex 1 Fano Factor at ~ 40 Hz 0 LGN V1 RGC Kara, Reinagel & Reid, 2000
When firing rate is high, variability is low V1 LGN RGC 200 Firing Rate 0 1 FF 0 0 500 Time (ms) Kara, Reinagel & Reid, 2000
Refractoriness Regularizes? PSTH Poisson model Poisson with Refractory Period
Estimating refractoriness from data model Method: Berry & Meister 1998 probability data 0 10 20 30 40 50 60 70 80 90 100 ISI
Recovery Function 1 absolute and relative refractoriness recovery function 0.5 0 0 5 10 15 20 25 30 35 time since last spike (ms)
Free Firing Rate 500 free 400 300 firing rate (sp/s) 200 100 observed 0 0 500 1000 time (ms)
Refractory models for all cell types LGN RGC V1 2 Fano Factor 1 0 200 0 0 Time (ms) Kara, Reinagel & Reid, 2000
Variability increases from retina to cortex 1 Fano Factor at ~ 40 Hz 0 LGN V1 RGC Kara, Reinagel & Reid, 2000
V1 RGC Refractoriness decreasesfrom retina to cortex 1.0 0.5 Recovery Function 0.0 0 10 20 30 Time (ms) Kara, Reinagel & Reid, 2000
Summary of Reliability • Spike count has sub-Poisson variability • High FR High Reliability • Refractoriness completely explains • Noise is low, but doubling each synapse • firing rate is decreasing • refractoriness is decreasing
Jahnsen and Llinas (1984) Hubel and Wiesel (1961) Thalamic Bursts (It)
Bursting in the LGN • not rhythmic or synchronous in anesthetized animals • visual in anesthetized animals • synapses prefer bursts • do occur in alert animals, and rare signals can be important • cool computational ideas • ERGO • Bursts are crucial to vision • dominate during sleep, when vision is suppressed • frequent under anesthesia, when vision is absent • almost never seen in alert animals, when vision is happening • ERGO • Bursts are irrelevant to vision
Optimal Guess of Stimulus Before a burst Before a tonic spike 0.2 0.1 1.5 0.2 0 0.15 -0.1 1 Coding Efficiency Bits/event -0.6 -0.4 -0.2 0 0.1 Time before spike (s) 0.5 0.05 0 0 Burst Tonic Burst Tonic Visual inputs trigger bursts Reinagel, Godwin, Sherman & Koch 1999
Trigger synaptic input • • • • • • • • Bursts: Triggering vs. Priming AP times observable Ca++ spike * active inactive LT-Ca++ channel state time
Denning & Reinagel 2005 Alitto, Weyand & Usrey 2005 Lesica & Stanley 2004 Bursts in LGN are distinct code words
Summary: Bursting • • LGN neurons have 2 states • • Visual inputs trigger responses in both states • • Visual inputs also control the state • BUT All this is under anesthesia • What about alert? • - Stimulus ensemble matters • Behavioral state may also • Triggering and priming
What happens in the LGN? • spiking inputs • intrinsic properties • local circuits • cortical feedback
Directions • Do bursts occur and are they visual in alert animals? • Function of cortical feedback to the LGN? • Does precision in the LGN matter for perception?
An awake behaving rodent prep for vision Thanks to collaborators at CSHL Flister, Meier , Conway & Reinagel (unpub)
Bursts in LGN in the awake, behaving rat Flister, Meier & Reinagel (unpub)
Center Surround Opponent RFs Kuffler 1958
Spatial correlation in natural images Natural Image Correlation Power spectrum 1 2 10 0.8 0.6 0 10 0.4 -2 0.2 10 -40 -20 0 20 40 0 2 10 10 distance cycles/degree (cf. Field 1987; Tadmore & Tolhurst; Ruderman & Bialek; van Hateren)
4 1 10 0.8 2 10 0.6 0.4 0 10 0.2 -2 0 10 -20 0 20 -2 0 2 10 10 10 4 1 10 0.8 2 10 0.6 0.4 0 10 0.2 -2 0 10 -20 0 20 -2 0 2 10 10 10 Natural Image Correlation Power spectrum Spatial frequency Distance (pixels) (cf. Barlow 1961)
Natural temporal stimulus 0 10 luminance -1 10 -2 10 0 1 2 3 4 time (s) Correlation Power Spectrum 2 1 10 0.8 0 10 0.6 -2 10 0.4 -4 10 0.2 -6 0 10 -1 0 1 -1 0 1 2 3 10 10 10 10 10 Distance (sec) Temporal frequency (Hz) (cf. Dong & Atick 1995; van Hateren 1997)
2 10 0 10 luminance -1 10 -2 10 0 1 2 3 4 time (s) Correlation Power Spectrum 1 0 0.8 10 0.6 0.4 -5 10 0.2 0 -2 -1 0 1 2 -1 0 1 3 10 10 10 10 distance (sec) Temporal frequency (Hz) (cf. Dan Atick & Reid 1996)
Barlow 1961 Redundancy Reduction Hypothesis + + Sensory neurons decorrelate natural inputs to reduce redundancy
Whitening in the fly Van Hateren 1997
Summary: Redundancy Reduction • Shannon 1948: Optimal codes lack redundancy • Kuffler 1958: Center-surround receptive fields in retina Hubel 1960: Center-surround RFs in LGN • Barlow 1961: Center-surround RFs reduce redundancy for natural scenes • Dan, Atick & Reid 1996: Responses in LGN are less redundant for natural scenes
A B C 300 7 1 6 250 0.8 5 200 0.6 4 150 Information (bits/s) Efficiency (bits/bit) Information (bits/spk) 3 0.4 100 2 0.2 50 1 0 0 0 white natural white natural white natural Bullfrog Auditory Neuron: Natural Stimulus is ‘Optimal’ Rieke, Bodnar & Bialek 1995